Solution to the Rhoades’ problem under minimal metric structure

Autor: Savaliya, Jayesh, Gopal, Dhananjay, Moreno, Juan Martinez, Srivastava, Shailesh Kumar
Zdroj: The Journal of Analysis; 20240101, Issue: Preprints p1-13, 13p
Abstrakt: An open problem proposed by Rhoades (Contemp Math 72:233–245, 1988) is the following, “Is there a contractive condition that guarantees a fixed point’s existence but does not require the mapping to be continuous at that point?” In this paper, we generalize a result of Bisht (J Fixed Point Theory Appl 25:11, 2023), which allows us to find a new solution to this open problem. Furthermore, we have validated the result generated in the article by producing several examples.
Databáze: Supplemental Index